Loogle Search

You can search for Mathlib lemmas by providing a type signature pattern to find relevant proofs. This approach helps you discover lemmas when the exact name is unknown, using wildcards and type variables for flexible queries.

Yes, you can use wildcards (`_`) and type variables (`?a`, `?b`) when searching for Lean proofs. This pattern matching allows you to perform both precise and broad searches across the Mathlib library.

The best way to find a function in Mathlib without knowing its name is searching by its type signature shape. By inputting the expected input and output types, you can locate matching lemmas or functions like `List.map`.

Yes, Loogle Search supports theorem proving in Lean by facilitating the discovery of relevant lemmas. It searches the Mathlib library based on type signature patterns, aiding mathematical exploration when you need a specific proof.

To find a list mapping lemma in Mathlib, format your type signature query using pattern matching syntax like `(?a → ?b) → List ?a → List ?b`. This query will return matching lemmas such as `List.map`.

A limitation of searching Mathlib by type signature patterns is that it requires knowing the exact shape of the types involved. If the type signature is too broad, the search may return too many results, and if too specific, it might miss relevant lemmas.